Search a number
-
+
115542982968 = 23372988726737
BaseRepresentation
bin110101110011011100…
…1100000000100111000
3102001020101111200112120
41223212321200010320
53343113000423333
6125025115041240
711230156102440
oct1534671400470
9361211450476
10115542982968
1145002002276
121a487140220
13ab849b009a
145841429120
153013a57db3
hex1ae6e60138

115542982968 has 128 divisors (see below), whose sum is σ = 341904153600. Its totient is φ = 31836801024.

The previous prime is 115542982963. The next prime is 115542983021. The reversal of 115542982968 is 869289245511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115542982963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4308096 + ... + 4334832.

It is an arithmetic number, because the mean of its divisors is an integer number (2671126200).

Almost surely, 2115542982968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115542982968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170952076800).

115542982968 is an abundant number, since it is smaller than the sum of its proper divisors (226361170632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115542982968 is a wasteful number, since it uses less digits than its factorization.

115542982968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27669 (or 27665 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 60.

The spelling of 115542982968 in words is "one hundred fifteen billion, five hundred forty-two million, nine hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 887 1218 1624 1774 2436 2661 3548 4872 5322 6209 7096 10644 12418 18627 21288 24836 25723 26737 37254 49672 51446 53474 74508 77169 80211 102892 106948 149016 154338 160422 180061 187159 205784 213896 308676 320844 360122 374318 540183 561477 617352 641688 720244 748636 775373 1080366 1122954 1440488 1497272 1550746 2160732 2245908 2326119 3101492 4321464 4491816 4652238 5427611 6202984 9304476 10855222 16282833 18608952 21710444 23715719 32565666 43420888 47431438 65131332 71147157 94862876 130262664 142294314 166010033 189725752 284588628 332020066 498030099 569177256 664040132 687755851 996060198 1328080264 1375511702 1992120396 2063267553 2751023404 3984240792 4126535106 4814290957 5502046808 8253070212 9628581914 14442872871 16506140424 19257163828 28885745742 38514327656 57771491484 115542982968